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Q.If $\alpha, \beta$ are roots of $x^2 - 3x + 1 = 0$ , then the equation whose roots are $\alpha^{19}$ and $\beta^{19}$ has the sum of roots equal to

a

2 \cos \frac{19\pi}{11}

b

2 \cos \frac{38\pi}{11}

c

2 \cos \frac{19\pi}{22}

d

2 \cos \frac{38\pi}{22}

Correct Answer: Option C

The correct solution involves applying the fundamental concept to derive the final value step by step...

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